Question

solve the following quadratic equation by the method of completing square x^2+10x+25=0​

Answer 1

Step-by-step explanation:

answer for the quadratic equation by completing the square method = -5 , -5

Answer 2

Answer:

Required value of x is (-5)

Step-by-step explanation:

Given equation,

${x}^{2} + 10x + 25 = 0.....(1)$

We want to solve equation (1) by method of completing square.

So now from equation (1),

${x}^{2} + 10x + {5}^{2} = 0 \\ {x}^{2} + 2 \times x \times 5 + {5}^{2} = 0$

We know,

${a}^{2} + 2ab + {b}^{2} = {(a + b)}^{2}$

So,

${x}^{2} + 2 \times x \times 5 + {5}^{2} = 0 \\ {(x + 5)}^{2} = 0 \\ x + 5 = 0 \\ x = - 5$

So, required value of x is (-5)

Extra information about equation:

A mathematical statement that uses an equal sign between two expressions is called an equation.

Consider an example of an equation: $5x + 2 = 2$

In the above equation, we see that the expression on the left is equal to (5x+2) and 2 is the expression on the right.

Equation related two more problems:

https://brainly.in/question/24791936

https://brainly.in/question/48877157

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